Stable pairs on elliptic K3 surfaces
Algebraic Geometry
2010-03-25 v2
Abstract
We study semistable pairs on elliptic K3 surfaces with a section: we construct a family of moduli spaces of pairs, related by wall crossing phenomena, which can be studied to describe the birational correspondence between moduli spaces of sheaves of rank 2 and Hilbert schemes on the surface. In the 4-dimensional case, this can be used to get the isomorphism between the moduli space and the Hilbert scheme described by Friedman.
Cite
@article{arxiv.0811.4326,
title = {Stable pairs on elliptic K3 surfaces},
author = {Marcello Bernardara},
journal= {arXiv preprint arXiv:0811.4326},
year = {2010}
}
Comments
shortened version with French summary, to appear in C. R. Acad. Sci. Paris. 6 pages